Introduction: Data

Q. In class V, there are 15 boys and 8 girls. The teacher wants to select either a boy or a girl as the class leader. In how many ways can the teacher select the class leader?

1. 8
2. 15
3. 24
4. 23

Q.

Define frequency.

Q.

The number of times an observation repeats itself in a given data is called as_____

Q. In class VI, there are 10 boys and 4 girls. The teacher wants to select either a boy or a girl as the class leader. In how many ways can the teacher select the class leader?

1. 14
2. 15
3. 4
4. 10

Q.

Which of the following are limitations of range? a) It is not based on all the values. b) It can not be calculated for open-ended frequency distribution. c) As long as the minimum and maximum values remain unaltered, any change in other values does not affect the range. d) All of these

1. option (d) is correct.

2. Option (a), (b), and (c) are correct

Q.

From his observations, he tried to draw conclusions. Something about the “Dodo” birds was not alright. But what was it? He took out his tablet having an encyclopedia which had everything in it. He searched “Dodo”. In the results, it was given that “These birds live around Mauritius”. There was also a table, which gave the number of Dodo birds in different years. The table was as follows:

$\begin{array}{cc}\text{Year}& \text{No. of Dodo birds}\\ 1665& 1500\\ 1675& 300\\ 1681& 1\\ 1685& \text{Extinct}\end{array}$

Looking at the table and analyzing the data, he derived the conclusion that:

1. Dodo birds somehow reappeared

2. he was in the world of Dodo birds

3. The last Dodo bird died in 1681

4. He must be in the past

Q. Using appropriate identity, factorise the following:-
(1)$49a^2+70ab+25b^2$
(2)$9a^2-30ab+25b^2$

Q. The average temperature across a week in December in the city of Yakutsk is –30 °C. If Friday was colder than Saturday by 10 °C, find the temperatures on Friday and Saturday.

1. Friday (–36 °C); Saturday (–26 °C)
2. Friday (–35 °C); Saturday (–25 °C)
3. Friday (–37 °C); Saturday (–27 °C)
4. Friday (–34 °C); Saturday (–24 °C)

Q. Statements: No word is a statement.
Some statements are paragraphs.
No paragraph is a chapter.
Conclusions: I. All statements can never be chapters.
II. All words being chapters is a possibility.

1. if only conclusion I follows.
2. if only conclusion II follows.
3. if either conclusion I or conclusion II follows.
4. if neither conclusion I nor conclusion II follows.
5. if both conclusion I and conclusion II follow.

Q. The table given below represents the data of different size and color of a T-shirt inventory.
Find the percentage of red t-shirts among the medium size. (round off to 2 decimal places)

1. 39.13%
2. 60.87%
3. 64.26%
4. 32.73%

Q. If $2x-\frac{1}{2x}=3$, find the value of $16x^4+\frac{1}{16x^4}$

1. $117$
2. $111$
3. $119$
4. $121$

Q. In which year history of statistics can be said to start around?

1. $1756$
2. $1749$
3. $1789$
4. $1752$